Statistics

Problem Statement for "SquareCityWalking"

Problem Statement

TopCity is a square-shaped city. When we divide the city into N rows and N columns, you can see that the city is divided into N2 districts. We will number both the rows and the columns starting from 0, and we will say that district (i, j) is the square in row i and column j.
In TopCity, districts have various cultures. For each district, a positive integer is assigned to represent its culture. The culture of district (i, j) is represented by the integer A[i*N+j].


You are initially at district (0, 0). You will go to district (N-1, N-1) by repeatedly moving between cells which share an edge, using a shortest route.


The similarity of cultures of different districts can be measured by computing the greatest common divisor (GCD, see Notes for definition) of their individual culture values.
The similarity of cultures on your route is the similarity of all districts that lie on the route, including districts (0, 0) and (N-1, N-1).
Find and return the largest possible similarity of cultures on a valid route from (0, 0) to (N-1, N-1).

Definition

Class:
SquareCityWalking
Method:
largestGCD
Parameters:
int, int[]
Returns:
int
Method signature:
int largestGCD(int N, int[] A)
(be sure your method is public)

Notes

  • GCD (Greatest Common Divisors) means the largest positive integer which divides all given values. For example, the GCD of {91, 169, 130} is 13, because 13 divides all three given integers, but there is no larger value which divides all three given integers.

Constraints

  • N will be between 1 and 25.
  • The length of A will be exactly N*N.
  • A[i] will be between 1 and 100.

Examples

  1. 3

    { 96, 42, 45, 32, 36, 27, 40, 54, 84 }

    Returns: 6

    In this example, there are six possible routes that you may pass. The culture value of districts you pass for each possibility, will be following: 96 --> 42 --> 45 --> 27 --> 84 (The GCD will be 3) 96 --> 42 --> 36 --> 27 --> 84 (The GCD will be 3) 96 --> 42 --> 36 --> 54 --> 84 (The GCD will be 6) 96 --> 32 --> 36 --> 27 --> 84 (The GCD will be 1) 96 --> 32 --> 36 --> 54 --> 84 (The GCD will be 2) 96 --> 32 --> 40 --> 54 --> 84 (The GCD will be 2) Hence, the maximum possible GCD will be 6, and that's why you need to return 6 for this example.

  2. 3

    { 4, 9, 2, 3, 5, 7, 8, 1, 6 }

    Returns: 1

    In this example, there are six possible routes, but for all of them, the GCD of culture value of districts you pass will be 1. So, the maximum possible GCD of culture value of districts you pass is 1.

  3. 4

    { 54, 81, 27, 36, 48, 64, 96, 72, 84, 60, 45, 99, 80, 90, 40, 63 }

    Returns: 9

    In this example, it is optimal to move as (0, 0) --> (0, 1) --> (0, 2) --> (0, 3) --> (1, 3) --> (2, 3) --> (3, 3), and the GCD of their culture values will be 9.

  4. 1

    { 47 }

    Returns: 47

    Please note that there is a case which N is equal to 1. The GCD of "just 47" is, of course, 47.

  5. 5

    { 100, 80, 64, 48, 36, 75, 10, 10, 10, 48, 50, 10, 10, 10, 64, 25, 10, 10, 10, 80, 5, 25, 50, 75, 100 }

    Returns: 10

    In this example, one of the optimal route is (0, 0) --> (0, 1) --> (1, 1) --> (1, 2) --> (2, 2) --> (2, 3) --> (3, 3) --> (3, 4) --> (4, 4), and the GCD of their culture values will be 10.

  6. 4

    {6, 2, 1, 1, 3, 6, 4, 1, 1, 4, 6, 3, 1, 1, 2, 6}

    Returns: 2

  7. 25

    {99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 99}

    Returns: 9

  8. 1

    {1}

    Returns: 1

  9. 2

    {1, 1, 1, 1}

    Returns: 1

  10. 2

    {1, 63, 42, 21}

    Returns: 1

  11. 2

    {21, 42, 63, 1}

    Returns: 1

  12. 2

    {21, 42, 3, 63}

    Returns: 21

  13. 2

    {21, 7, 42, 63}

    Returns: 21

  14. 2

    {70, 1, 15, 2}

    Returns: 1

  15. 5

    {95, 85, 61, 23, 79, 30, 36, 14, 29, 26, 16, 76, 69, 75, 89, 99, 92, 58, 74, 91, 95, 33, 79, 23, 9}

    Returns: 1

  16. 18

    {73, 88, 95, 90, 42, 14, 83, 70, 8, 93, 22, 25, 70, 83, 25, 31, 80, 49, 91, 71, 85, 70, 27, 99, 49, 25, 11, 24, 12, 57, 33, 67, 69, 50, 46, 6, 79, 34, 23, 71, 81, 95, 97, 84, 75, 59, 84, 43, 2, 13, 61, 26, 97, 20, 69, 9, 49, 93, 1, 76, 91, 33, 85, 62, 45, 45, 99, 98, 79, 57, 32, 91, 39, 89, 7, 30, 16, 11, 99, 77, 27, 84, 50, 25, 8, 13, 16, 56, 8, 76, 24, 42, 85, 81, 81, 18, 20, 90, 91, 31, 92, 3, 41, 66, 39, 88, 24, 89, 79, 67, 22, 70, 13, 64, 29, 97, 71, 37, 63, 57, 59, 98, 76, 17, 24, 7, 40, 97, 48, 84, 32, 69, 86, 54, 93, 63, 17, 85, 31, 7, 15, 81, 72, 2, 10, 73, 62, 87, 23, 81, 43, 78, 62, 56, 61, 29, 41, 20, 34, 42, 1, 27, 85, 55, 21, 91, 84, 45, 64, 73, 27, 44, 98, 83, 33, 86, 37, 45, 84, 92, 89, 97, 54, 27, 75, 16, 42, 74, 88, 82, 29, 39, 71, 36, 63, 11, 95, 85, 69, 18, 22, 74, 19, 91, 72, 57, 79, 68, 16, 47, 11, 74, 34, 44, 94, 50, 53, 32, 34, 88, 13, 61, 25, 63, 79, 21, 71, 39, 72, 81, 34, 56, 74, 35, 77, 100, 58, 89, 17, 49, 22, 100, 95, 88, 97, 42, 1, 26, 55, 58, 61, 65, 100, 66, 38, 47, 74, 13, 60, 28, 24, 87, 27, 96, 63, 30, 21, 67, 38, 92, 57, 34, 93, 6, 95, 62, 29, 53, 76, 72, 38, 87, 86, 93, 41, 19, 1, 20, 58, 51, 75, 77, 59, 34, 76, 40, 50, 79, 74, 65, 35, 28, 20, 27, 44, 45, 41, 50, 30, 54, 3, 37, 89, 11, 75, 47, 55, 11, 5, 32, 50, 57, 37, 98}

    Returns: 1

  17. 23

    {32, 88, 42, 23, 59, 2, 78, 94, 81, 92, 74, 73, 50, 23, 41, 25, 51, 83, 62, 99, 5, 30, 78, 37, 77, 59, 87, 24, 64, 48, 42, 91, 57, 89, 42, 45, 66, 45, 52, 78, 29, 52, 34, 53, 9, 66, 5, 30, 82, 18, 8, 34, 26, 31, 42, 6, 20, 44, 14, 3, 41, 6, 26, 97, 78, 60, 7, 70, 56, 28, 74, 54, 73, 57, 34, 58, 20, 60, 53, 75, 54, 28, 32, 6, 92, 48, 24, 68, 98, 52, 54, 61, 74, 79, 24, 12, 69, 10, 59, 51, 62, 15, 2, 48, 81, 72, 7, 51, 15, 77, 9, 43, 4, 9, 64, 55, 11, 12, 6, 62, 25, 35, 75, 51, 71, 18, 65, 24, 26, 9, 50, 15, 85, 68, 79, 54, 24, 24, 37, 65, 20, 23, 91, 91, 47, 70, 43, 72, 1, 33, 94, 48, 22, 73, 97, 28, 11, 44, 38, 81, 85, 59, 100, 100, 33, 75, 24, 30, 86, 57, 62, 97, 81, 19, 7, 37, 10, 90, 11, 10, 94, 88, 43, 65, 51, 52, 84, 89, 44, 27, 8, 30, 61, 75, 1, 90, 40, 20, 35, 84, 82, 19, 39, 32, 8, 96, 71, 33, 82, 47, 8, 70, 13, 25, 47, 79, 18, 29, 65, 90, 48, 97, 76, 14, 9, 86, 76, 5, 37, 100, 100, 20, 100, 78, 35, 87, 75, 97, 78, 8, 92, 98, 75, 18, 49, 65, 67, 47, 94, 22, 82, 56, 98, 46, 73, 83, 87, 79, 70, 11, 41, 52, 32, 45, 27, 53, 43, 8, 73, 44, 100, 82, 71, 9, 31, 81, 79, 64, 83, 96, 60, 27, 40, 62, 36, 89, 50, 79, 62, 37, 69, 49, 9, 26, 11, 98, 38, 62, 11, 60, 51, 91, 90, 49, 7, 20, 98, 17, 27, 74, 80, 91, 29, 44, 66, 30, 59, 39, 38, 51, 71, 24, 78, 9, 100, 9, 77, 51, 18, 85, 33, 11, 83, 5, 93, 85, 47, 37, 92, 84, 41, 11, 28, 18, 43, 41, 36, 65, 96, 39, 19, 11, 68, 93, 36, 45, 27, 79, 16, 79, 31, 98, 22, 48, 96, 12, 89, 43, 71, 73, 50, 9, 87, 28, 68, 40, 79, 89, 8, 94, 61, 22, 6, 74, 91, 34, 54, 79, 7, 98, 76, 28, 67, 87, 9, 45, 78, 61, 40, 3, 27, 91, 44, 36, 50, 70, 93, 64, 33, 86, 97, 70, 1, 70, 66, 90, 27, 82, 14, 4, 42, 55, 89, 51, 72, 62, 38, 19, 19, 19, 49, 29, 58, 74, 21, 10, 48, 15, 2, 31, 14, 49, 37, 59, 72, 93, 27, 91, 28, 66, 44, 4, 54, 40, 92, 59, 90, 37, 96, 34, 34, 46, 62, 78, 90, 45, 1, 64, 24, 72, 1, 6, 71, 37, 85, 6, 21, 63, 70, 39, 7, 31, 94, 28, 96, 36, 85, 95, 87, 9, 5, 54, 23, 12, 18, 3, 81, 56, 3, 6, 95, 91, 71, 49, 21, 13, 13, 19, 42, 79, 13, 38, 40, 100, 25, 81, 98, 68, 57, 54, 60, 22, 73, 93, 35, 42, 72, 46, 32}

    Returns: 1

  18. 25

    {50, 14, 90, 85, 4, 30, 98, 19, 20, 39, 56, 70, 7, 67, 20, 37, 50, 40, 59, 18, 15, 59, 24, 28, 26, 58, 78, 46, 32, 59, 8, 20, 8, 69, 60, 96, 97, 55, 91, 63, 61, 28, 44, 82, 79, 96, 98, 21, 68, 64, 26, 54, 87, 5, 100, 98, 66, 42, 68, 5, 96, 5, 98, 10, 2, 48, 95, 99, 27, 1, 82, 86, 38, 20, 95, 95, 23, 47, 2, 99, 75, 95, 13, 15, 36, 67, 45, 9, 89, 35, 79, 81, 28, 34, 67, 45, 50, 79, 68, 38, 51, 22, 24, 95, 11, 36, 74, 95, 72, 23, 48, 56, 96, 59, 26, 93, 37, 41, 75, 50, 85, 61, 65, 90, 91, 52, 34, 61, 47, 7, 59, 23, 42, 7, 40, 76, 43, 39, 68, 60, 82, 60, 81, 24, 5, 23, 27, 31, 70, 54, 65, 79, 66, 90, 95, 73, 2, 7, 42, 93, 43, 51, 57, 44, 60, 20, 88, 85, 10, 61, 68, 28, 22, 32, 95, 54, 73, 2, 36, 39, 19, 24, 6, 8, 96, 96, 2, 53, 76, 84, 54, 89, 22, 19, 62, 25, 93, 92, 26, 92, 52, 57, 87, 53, 69, 3, 88, 28, 9, 47, 2, 81, 71, 94, 45, 70, 65, 62, 4, 17, 2, 5, 26, 80, 7, 58, 66, 99, 98, 62, 81, 58, 14, 21, 10, 22, 90, 62, 75, 85, 21, 42, 16, 97, 46, 19, 72, 33, 77, 67, 42, 2, 30, 37, 20, 32, 51, 3, 44, 40, 46, 24, 40, 20, 14, 71, 7, 92, 25, 73, 53, 44, 80, 93, 81, 44, 45, 100, 79, 62, 32, 9, 35, 85, 79, 24, 26, 85, 36, 43, 85, 14, 22, 69, 59, 69, 76, 26, 76, 22, 28, 34, 7, 11, 90, 42, 60, 42, 31, 83, 21, 29, 45, 76, 55, 90, 63, 39, 57, 50, 60, 40, 24, 5, 9, 23, 21, 24, 64, 22, 22, 21, 60, 70, 31, 45, 56, 12, 82, 9, 65, 78, 99, 29, 20, 6, 51, 81, 30, 6, 78, 44, 94, 18, 42, 19, 78, 12, 11, 1, 10, 26, 56, 32, 15, 60, 48, 10, 25, 49, 88, 47, 71, 94, 24, 29, 1, 54, 3, 37, 41, 71, 78, 72, 34, 14, 38, 21, 30, 81, 20, 86, 56, 56, 62, 86, 72, 85, 60, 88, 61, 73, 8, 3, 29, 90, 68, 87, 3, 34, 7, 73, 80, 45, 37, 70, 96, 89, 86, 76, 34, 4, 79, 76, 36, 18, 8, 11, 52, 60, 26, 48, 25, 45, 80, 50, 22, 1, 80, 65, 51, 10, 73, 14, 80, 87, 51, 95, 19, 56, 27, 23, 62, 97, 71, 57, 48, 69, 32, 51, 46, 42, 11, 80, 34, 87, 57, 45, 61, 32, 69, 44, 26, 59, 8, 63, 4, 91, 87, 24, 31, 42, 87, 80, 16, 5, 64, 29, 45, 59, 60, 51, 86, 63, 20, 29, 38, 46, 79, 92, 90, 79, 63, 48, 29, 58, 89, 93, 65, 6, 92, 77, 9, 53, 33, 84, 64, 72, 76, 57, 4, 10, 10, 89, 57, 40, 47, 97, 3, 51, 82, 20, 34, 32, 17, 36, 11, 96, 26, 65, 12, 24, 76, 61, 90, 87, 46, 46, 52, 12, 95, 66, 14, 71, 5, 82, 48, 56, 74, 22, 96, 56, 52, 61, 81, 56, 20, 99, 3, 27, 77, 29, 62, 25, 31, 55, 49, 3, 39, 45, 11, 78, 11, 10, 28, 82, 42, 69, 99, 81, 24, 10, 54, 34, 28, 80, 88, 77, 14, 79, 60, 50, 71, 48, 63, 70, 73, 14, 94, 36, 97, 97, 82, 44, 55, 77, 52, 61, 94, 33, 35, 10, 39, 13, 65}

    Returns: 1

  19. 6

    {45, 75, 52, 2, 72, 59, 45, 90, 84, 47, 83, 46, 65, 90, 60, 9, 45, 55, 33, 3, 25, 30, 5, 84, 42, 90, 75, 84, 60, 75, 65, 45, 99, 26, 54, 60}

    Returns: 5

  20. 12

    {45, 40, 40, 73, 54, 50, 96, 97, 38, 29, 9, 79, 60, 47, 40, 100, 21, 86, 99, 96, 30, 17, 75, 100, 75, 30, 68, 80, 64, 67, 95, 5, 39, 9, 33, 67, 93, 10, 40, 80, 80, 15, 34, 45, 63, 94, 83, 4, 29, 100, 90, 28, 88, 40, 30, 40, 30, 12, 87, 20, 36, 36, 25, 39, 68, 72, 92, 47, 5, 60, 97, 80, 13, 51, 65, 15, 28, 58, 40, 96, 40, 50, 86, 12, 66, 55, 75, 6, 37, 18, 84, 48, 44, 60, 30, 32, 70, 93, 80, 25, 60, 55, 70, 60, 100, 100, 9, 56, 93, 1, 56, 50, 62, 32, 84, 58, 32, 80, 60, 50, 48, 85, 45, 36, 40, 11, 15, 89, 2, 60, 50, 58, 24, 39, 14, 13, 22, 95, 72, 87, 72, 28, 100, 70}

    Returns: 5

  21. 17

    {35, 90, 35, 12, 70, 54, 28, 33, 17, 80, 17, 88, 70, 95, 17, 37, 65, 85, 72, 85, 40, 80, 54, 82, 59, 11, 70, 29, 4, 31, 44, 60, 42, 97, 75, 72, 32, 90, 75, 5, 62, 42, 81, 90, 31, 78, 50, 99, 65, 88, 60, 27, 99, 72, 64, 41, 65, 11, 22, 25, 3, 14, 85, 97, 35, 87, 97, 56, 15, 37, 72, 27, 38, 65, 17, 20, 39, 21, 83, 95, 95, 30, 18, 22, 76, 14, 46, 64, 72, 16, 40, 90, 54, 74, 91, 98, 49, 74, 55, 22, 75, 46, 84, 15, 5, 36, 48, 40, 1, 15, 87, 47, 56, 71, 64, 83, 57, 50, 94, 22, 85, 29, 54, 18, 40, 99, 34, 28, 95, 87, 59, 37, 27, 99, 42, 28, 26, 9, 12, 99, 22, 40, 46, 82, 70, 50, 46, 6, 15, 74, 53, 44, 43, 63, 53, 10, 90, 5, 40, 80, 25, 69, 74, 78, 67, 10, 100, 79, 71, 79, 93, 41, 4, 72, 73, 8, 20, 12, 55, 32, 34, 100, 54, 35, 68, 67, 47, 48, 25, 23, 63, 66, 96, 80, 56, 56, 56, 88, 80, 40, 19, 6, 9, 91, 50, 5, 79, 72, 5, 59, 20, 89, 55, 72, 77, 24, 40, 7, 47, 98, 30, 3, 57, 82, 81, 54, 81, 45, 90, 40, 55, 91, 72, 88, 47, 75, 43, 2, 98, 28, 34, 95, 17, 44, 35, 9, 27, 45, 45, 18, 72, 72, 72, 72, 13, 56, 47, 50, 96, 84, 40, 27, 58, 36, 15, 30, 65, 65, 90, 45, 80, 88, 68, 67, 61, 8, 91, 64, 21, 49, 95, 31, 84, 21, 67, 9, 45, 45, 65}

    Returns: 5

  22. 22

    {80, 65, 77, 49, 43, 45, 68, 66, 9, 6, 79, 79, 28, 44, 63, 61, 89, 59, 61, 33, 66, 69, 40, 67, 77, 18, 91, 13, 58, 26, 48, 31, 98, 29, 36, 64, 63, 56, 99, 19, 1, 2, 34, 83, 80, 40, 56, 54, 38, 92, 98, 29, 43, 69, 32, 75, 48, 68, 39, 97, 91, 17, 99, 11, 77, 96, 90, 63, 24, 88, 41, 99, 36, 27, 4, 23, 23, 90, 59, 96, 55, 68, 100, 39, 74, 98, 29, 94, 15, 88, 73, 96, 32, 16, 28, 29, 35, 27, 39, 34, 98, 17, 99, 25, 38, 31, 51, 88, 55, 40, 50, 80, 39, 96, 96, 80, 56, 80, 100, 67, 28, 49, 85, 82, 91, 16, 50, 94, 91, 18, 16, 76, 39, 15, 62, 92, 97, 37, 89, 96, 56, 24, 98, 40, 72, 35, 21, 48, 51, 24, 71, 52, 92, 40, 41, 75, 89, 100, 66, 91, 55, 33, 4, 8, 32, 91, 35, 39, 63, 26, 21, 91, 53, 42, 61, 2, 2, 95, 75, 58, 79, 59, 35, 66, 95, 72, 32, 19, 76, 66, 28, 96, 31, 33, 10, 53, 30, 56, 5, 46, 50, 49, 56, 55, 3, 29, 27, 93, 16, 17, 55, 21, 14, 68, 54, 69, 50, 40, 95, 58, 96, 3, 15, 49, 38, 54, 3, 30, 60, 17, 72, 34, 77, 61, 26, 60, 72, 13, 24, 67, 13, 6, 87, 22, 80, 35, 80, 99, 71, 29, 100, 43, 96, 64, 16, 88, 69, 71, 29, 6, 10, 3, 27, 47, 57, 10, 15, 85, 5, 45, 65, 80, 14, 52, 92, 16, 56, 72, 40, 56, 76, 54, 76, 100, 76, 99, 94, 90, 4, 28, 76, 4, 80, 50, 16, 91, 8, 49, 75, 48, 82, 40, 56, 96, 76, 43, 41, 75, 63, 2, 10, 14, 28, 14, 24, 60, 75, 26, 86, 86, 16, 34, 18, 72, 67, 64, 78, 29, 100, 29, 44, 18, 35, 53, 41, 74, 10, 26, 80, 100, 45, 100, 30, 5, 72, 72, 50, 96, 29, 75, 9, 99, 9, 96, 93, 28, 52, 58, 38, 79, 98, 99, 86, 24, 80, 100, 30, 60, 10, 40, 8, 12, 15, 10, 23, 33, 97, 48, 55, 98, 80, 63, 95, 58, 89, 65, 75, 48, 31, 56, 2, 40, 15, 86, 13, 27, 60, 62, 57, 49, 58, 14, 71, 93, 12, 82, 36, 85, 39, 80, 41, 38, 61, 88, 80, 88, 92, 31, 12, 11, 64, 31, 80, 2, 55, 19, 49, 30, 13, 88, 15, 38, 81, 90, 25, 64, 15, 40, 43, 97, 12, 4, 73, 70, 43, 46, 50, 33, 62, 29, 99, 32, 57, 10, 44, 54, 49, 47, 80, 40, 25, 20, 80, 93, 55, 43, 69, 88, 79, 27, 83, 60, 2, 1, 86, 56, 94, 49, 71, 41, 83, 64, 40, 80}

    Returns: 8

  23. 25

    {62, 36, 92, 6, 22, 26, 60, 11, 6, 97, 26, 90, 95, 16, 79, 22, 29, 9, 43, 14, 72, 37, 24, 100, 33, 53, 40, 66, 45, 46, 66, 58, 80, 62, 45, 56, 49, 32, 40, 78, 8, 59, 31, 20, 10, 75, 8, 97, 5, 86, 83, 16, 68, 2, 19, 74, 5, 9, 13, 30, 56, 52, 76, 13, 67, 34, 99, 61, 80, 4, 11, 47, 32, 46, 31, 78, 2, 73, 16, 6, 14, 40, 29, 42, 34, 77, 79, 93, 26, 31, 19, 23, 62, 70, 48, 8, 31, 4, 49, 46, 73, 9, 32, 60, 64, 81, 98, 66, 12, 63, 19, 99, 93, 76, 30, 5, 73, 9, 31, 91, 4, 66, 88, 47, 85, 78, 85, 100, 50, 77, 61, 10, 81, 4, 41, 33, 40, 84, 44, 18, 62, 18, 68, 24, 94, 73, 67, 17, 52, 57, 46, 14, 5, 35, 90, 78, 50, 44, 19, 25, 50, 48, 11, 13, 34, 1, 59, 10, 100, 29, 87, 21, 12, 42, 96, 79, 95, 62, 14, 78, 48, 8, 76, 40, 52, 36, 77, 18, 36, 43, 94, 6, 76, 24, 37, 21, 61, 77, 6, 73, 100, 69, 14, 44, 50, 71, 77, 8, 87, 45, 85, 20, 38, 65, 28, 63, 15, 37, 94, 88, 15, 24, 91, 64, 69, 37, 54, 79, 5, 31, 3, 10, 12, 16, 63, 66, 25, 7, 72, 44, 66, 58, 78, 34, 18, 23, 77, 96, 21, 78, 78, 60, 21, 53, 33, 97, 31, 40, 44, 33, 21, 35, 42, 27, 72, 20, 57, 89, 77, 96, 88, 18, 3, 54, 16, 78, 52, 86, 50, 61, 57, 1, 68, 24, 50, 100, 43, 49, 83, 76, 72, 40, 55, 95, 84, 75, 19, 75, 17, 98, 3, 13, 21, 30, 81, 73, 21, 85, 76, 94, 15, 85, 48, 13, 55, 47, 24, 66, 59, 86, 96, 68, 47, 93, 22, 24, 60, 17, 98, 19, 47, 17, 75, 77, 90, 40, 66, 14, 4, 24, 14, 74, 28, 6, 15, 40, 74, 18, 17, 82, 5, 11, 98, 10, 36, 68, 8, 43, 56, 9, 8, 40, 69, 52, 92, 33, 92, 55, 60, 38, 88, 46, 46, 56, 15, 92, 7, 53, 48, 63, 84, 11, 23, 3, 91, 99, 71, 30, 76, 56, 100, 85, 87, 90, 27, 84, 31, 95, 91, 4, 10, 84, 60, 41, 65, 12, 45, 59, 41, 67, 98, 44, 77, 91, 12, 45, 35, 45, 24, 54, 55, 25, 13, 90, 94, 11, 93, 65, 71, 30, 60, 95, 73, 69, 91, 53, 64, 92, 55, 57, 85, 35, 91, 57, 30, 8, 2, 76, 58, 12, 82, 36, 22, 17, 97, 15, 43, 82, 85, 17, 20, 78, 54, 100, 49, 80, 26, 79, 59, 2, 72, 7, 49, 58, 37, 44, 23, 16, 91, 9, 8, 90, 38, 100, 100, 35, 79, 54, 68, 1, 59, 4, 9, 74, 4, 2, 67, 93, 87, 84, 4, 83, 63, 38, 59, 100, 98, 74, 99, 31, 42, 42, 22, 44, 53, 99, 60, 98, 34, 95, 14, 90, 51, 38, 78, 84, 63, 79, 73, 60, 6, 96, 68, 93, 88, 90, 25, 23, 92, 54, 46, 17, 58, 100, 99, 38, 88, 22, 68, 84, 90, 30, 85, 12, 4, 9, 73, 44, 29, 24, 47, 76, 4, 89, 79, 1, 58, 48, 15, 8, 51, 93, 79, 36, 82, 85, 26, 61, 85, 20, 94, 49, 68, 58, 92, 81, 31, 14, 69, 51, 71, 29, 30, 36, 80, 6, 50, 3, 93, 68, 59, 58, 97, 93, 16, 87, 89, 8, 40, 53, 26, 39, 39, 11, 44, 11, 49, 6, 59, 19, 84, 97, 91, 81, 80}

    Returns: 2

  24. 5

    {64, 4, 32, 64, 16, 64, 8, 16, 64, 64, 32, 8, 8, 8, 32, 2, 64, 1, 1, 2, 64, 2, 32, 4, 64}

    Returns: 2

  25. 12

    {64, 64, 1, 32, 16, 8, 1, 8, 64, 4, 4, 1, 16, 1, 64, 4, 8, 8, 1, 16, 2, 1, 8, 4, 2, 64, 1, 16, 64, 32, 1, 16, 4, 1, 16, 16, 32, 16, 2, 16, 2, 32, 8, 1, 64, 8, 64, 2, 1, 64, 1, 2, 8, 8, 4, 4, 16, 64, 8, 1, 1, 1, 16, 1, 1, 2, 1, 64, 16, 64, 4, 32, 4, 1, 1, 64, 4, 32, 16, 16, 1, 16, 1, 1, 8, 32, 2, 32, 32, 16, 4, 1, 2, 4, 1, 1, 8, 32, 16, 8, 64, 4, 32, 4, 16, 16, 2, 64, 2, 32, 4, 4, 16, 32, 32, 32, 32, 64, 2, 4, 16, 8, 4, 64, 2, 8, 32, 16, 2, 64, 8, 4, 8, 1, 1, 8, 64, 4, 2, 4, 4, 32, 64, 64}

    Returns: 2

  26. 16

    {64, 1, 64, 2, 16, 2, 4, 32, 32, 16, 1, 2, 16, 1, 2, 16, 64, 32, 32, 64, 2, 64, 16, 8, 2, 4, 32, 2, 32, 8, 64, 32, 8, 64, 2, 1, 2, 2, 1, 1, 64, 4, 4, 16, 8, 16, 64, 2, 16, 1, 8, 64, 16, 4, 32, 4, 64, 1, 32, 32, 1, 16, 4, 64, 1, 2, 4, 2, 8, 8, 32, 4, 16, 32, 1, 4, 16, 4, 4, 64, 4, 16, 64, 64, 32, 32, 16, 64, 64, 1, 16, 32, 1, 64, 16, 8, 64, 1, 2, 8, 32, 64, 16, 16, 16, 32, 4, 8, 32, 2, 1, 32, 4, 2, 4, 2, 1, 8, 4, 2, 4, 4, 64, 2, 1, 8, 4, 4, 1, 2, 1, 32, 1, 1, 1, 2, 4, 64, 32, 32, 64, 2, 32, 16, 4, 4, 16, 2, 32, 1, 16, 64, 64, 8, 64, 16, 32, 1, 64, 16, 64, 64, 1, 4, 1, 64, 8, 64, 32, 2, 16, 1, 2, 8, 8, 16, 32, 64, 1, 1, 16, 8, 32, 64, 32, 1, 32, 64, 16, 1, 16, 32, 32, 32, 4, 4, 1, 4, 4, 32, 8, 64, 1, 8, 2, 2, 2, 32, 16, 2, 4, 16, 4, 4, 32, 1, 64, 32, 2, 16, 2, 32, 64, 8, 8, 2, 16, 16, 16, 2, 1, 4, 1, 4, 64, 64, 64, 16, 2, 8, 16, 64, 2, 64, 8, 4, 4, 64, 1, 4, 32, 32, 32, 64, 16, 64}

    Returns: 2

  27. 21

    {64, 8, 64, 2, 2, 64, 16, 8, 8, 1, 16, 32, 8, 2, 8, 1, 2, 4, 2, 16, 2, 1, 64, 64, 16, 1, 64, 1, 1, 16, 2, 1, 32, 64, 16, 16, 8, 64, 8, 8, 8, 1, 16, 1, 64, 1, 2, 32, 32, 8, 1, 64, 32, 16, 64, 32, 4, 4, 32, 2, 1, 16, 8, 4, 1, 4, 32, 2, 2, 16, 8, 4, 4, 4, 32, 16, 64, 4, 1, 8, 1, 4, 8, 64, 2, 2, 8, 16, 64, 8, 4, 32, 1, 4, 8, 2, 16, 32, 8, 64, 1, 8, 8, 8, 32, 2, 1, 1, 8, 32, 1, 16, 1, 8, 64, 64, 4, 32, 4, 4, 32, 16, 8, 1, 2, 4, 64, 32, 64, 32, 8, 64, 2, 4, 2, 4, 4, 1, 16, 64, 16, 2, 2, 4, 32, 4, 8, 8, 64, 2, 64, 8, 4, 2, 1, 2, 32, 64, 2, 2, 2, 64, 2, 16, 32, 4, 1, 1, 16, 32, 1, 2, 64, 2, 2, 16, 64, 64, 1, 2, 4, 2, 16, 32, 64, 2, 64, 64, 64, 32, 32, 2, 2, 16, 64, 1, 1, 32, 16, 4, 16, 4, 64, 32, 2, 1, 1, 16, 16, 32, 2, 4, 1, 16, 2, 64, 8, 1, 64, 2, 16, 1, 2, 32, 8, 64, 64, 64, 4, 1, 1, 4, 32, 2, 8, 4, 8, 1, 8, 1, 16, 2, 32, 16, 32, 2, 1, 2, 2, 4, 16, 8, 32, 2, 32, 4, 4, 64, 32, 4, 32, 4, 8, 2, 2, 2, 32, 2, 32, 32, 32, 8, 64, 16, 32, 8, 2, 64, 2, 64, 4, 32, 4, 32, 32, 2, 8, 1, 1, 32, 4, 64, 2, 1, 32, 16, 1, 16, 4, 16, 2, 4, 32, 2, 4, 2, 1, 16, 8, 1, 4, 32, 16, 32, 32, 1, 64, 4, 8, 64, 8, 32, 64, 1, 1, 8, 4, 1, 64, 16, 16, 64, 8, 32, 16, 16, 8, 32, 16, 1, 2, 64, 16, 2, 4, 1, 32, 1, 32, 16, 2, 4, 2, 2, 8, 8, 4, 64, 64, 1, 32, 32, 1, 32, 1, 16, 8, 16, 16, 4, 2, 8, 16, 32, 8, 64, 32, 8, 4, 8, 16, 16, 8, 1, 8, 8, 1, 2, 64, 32, 8, 64, 32, 2, 64, 32, 64, 2, 2, 64, 4, 2, 4, 32, 64, 4, 4, 2, 64, 4, 2, 2, 64, 16, 64, 2, 8, 2, 32, 32, 2, 2, 32, 2, 4, 4, 32, 4, 32, 4, 4, 4, 4, 16, 8, 16, 64, 8, 64, 64, 64}

    Returns: 4

  28. 25

    {64, 16, 1, 2, 32, 2, 8, 2, 64, 2, 8, 1, 16, 4, 2, 2, 32, 32, 32, 8, 16, 4, 64, 1, 64, 32, 64, 2, 2, 8, 2, 2, 32, 4, 4, 1, 64, 4, 1, 32, 1, 4, 16, 32, 64, 16, 64, 1, 64, 8, 4, 64, 32, 32, 2, 16, 64, 16, 1, 32, 1, 8, 64, 2, 16, 4, 32, 64, 1, 4, 1, 2, 32, 64, 8, 4, 32, 64, 64, 16, 1, 2, 1, 2, 32, 1, 1, 32, 2, 64, 8, 2, 32, 16, 32, 2, 16, 4, 32, 32, 2, 2, 1, 64, 1, 4, 32, 1, 32, 16, 8, 4, 8, 8, 2, 64, 64, 4, 8, 2, 1, 2, 4, 2, 4, 8, 64, 1, 1, 4, 4, 64, 1, 16, 16, 8, 64, 1, 2, 32, 4, 64, 8, 16, 8, 64, 4, 2, 32, 16, 8, 16, 4, 2, 8, 8, 32, 16, 8, 64, 16, 16, 1, 8, 1, 64, 64, 2, 16, 4, 4, 32, 2, 32, 1, 1, 4, 2, 2, 1, 16, 32, 16, 16, 32, 4, 1, 1, 32, 4, 32, 8, 1, 1, 2, 64, 4, 16, 8, 1, 32, 64, 64, 1, 8, 64, 4, 64, 4, 32, 2, 1, 32, 64, 4, 2, 64, 32, 32, 32, 4, 1, 32, 1, 1, 2, 16, 4, 4, 4, 1, 2, 16, 32, 2, 2, 8, 64, 64, 2, 4, 1, 2, 1, 8, 32, 32, 8, 32, 1, 64, 32, 4, 8, 16, 16, 16, 1, 8, 16, 1, 2, 1, 1, 2, 32, 4, 8, 32, 1, 4, 8, 64, 2, 16, 64, 16, 32, 1, 2, 32, 64, 1, 1, 64, 2, 2, 32, 32, 32, 4, 1, 64, 8, 2, 2, 2, 4, 64, 32, 8, 2, 2, 8, 16, 2, 8, 2, 1, 1, 64, 64, 8, 4, 2, 32, 16, 64, 1, 64, 64, 32, 16, 16, 32, 64, 32, 2, 2, 16, 1, 4, 8, 2, 8, 16, 4, 2, 64, 32, 16, 4, 32, 32, 2, 64, 16, 1, 32, 2, 64, 16, 1, 64, 16, 32, 8, 32, 32, 2, 8, 4, 4, 64, 32, 4, 4, 16, 32, 16, 64, 4, 2, 32, 4, 2, 64, 1, 16, 8, 1, 4, 16, 8, 64, 64, 8, 1, 2, 4, 64, 2, 64, 16, 32, 64, 16, 1, 64, 4, 2, 32, 32, 4, 8, 4, 16, 1, 8, 2, 4, 1, 64, 8, 16, 1, 8, 16, 2, 64, 4, 64, 2, 32, 4, 4, 1, 32, 64, 64, 4, 32, 1, 32, 64, 1, 4, 4, 32, 64, 32, 8, 2, 16, 16, 4, 32, 4, 2, 2, 32, 32, 32, 1, 2, 64, 16, 4, 32, 64, 1, 4, 32, 8, 1, 64, 64, 32, 8, 2, 8, 16, 1, 32, 64, 1, 32, 32, 8, 64, 64, 4, 64, 32, 32, 32, 1, 64, 4, 8, 64, 2, 4, 2, 16, 64, 64, 4, 1, 2, 1, 32, 4, 1, 64, 16, 4, 16, 32, 64, 1, 64, 8, 8, 1, 2, 4, 16, 2, 16, 8, 64, 8, 4, 1, 2, 32, 4, 64, 4, 2, 8, 8, 2, 64, 8, 2, 1, 8, 1, 32, 8, 8, 2, 16, 1, 32, 8, 64, 4, 8, 64, 16, 4, 64, 16, 8, 1, 8, 32, 2, 4, 32, 2, 4, 64, 4, 4, 8, 16, 1, 32, 16, 16, 1, 32, 8, 8, 4, 16, 16, 8, 1, 1, 1, 2, 2, 4, 32, 8, 8, 2, 1, 32, 16, 2, 64, 8, 64, 2, 8, 64, 64, 32, 16, 64, 2, 8, 16, 16, 32, 64, 1, 1, 2, 2, 8, 64, 1, 4, 64, 16, 1, 4, 64}

    Returns: 2

  29. 7

    {81, 54, 6, 96, 32, 4, 64, 6, 2, 54, 6, 3, 1, 6, 3, 1, 32, 81, 12, 4, 4, 12, 1, 81, 36, 72, 6, 48, 16, 9, 32, 18, 24, 48, 48, 2, 12, 64, 36, 48, 8, 72, 81, 81, 2, 96, 3, 6, 64}

    Returns: 1

  30. 14

    {3, 36, 32, 96, 4, 2, 6, 2, 9, 12, 9, 1, 12, 27, 4, 3, 9, 1, 54, 96, 54, 4, 32, 2, 27, 9, 72, 6, 3, 18, 16, 9, 81, 4, 9, 4, 2, 18, 3, 1, 72, 96, 3, 18, 18, 3, 32, 3, 48, 12, 6, 72, 36, 1, 18, 2, 48, 36, 12, 36, 6, 16, 6, 8, 2, 16, 27, 48, 12, 3, 36, 48, 18, 81, 36, 18, 6, 9, 32, 12, 16, 18, 8, 24, 16, 6, 9, 72, 54, 27, 27, 36, 24, 1, 4, 16, 8, 81, 96, 12, 81, 81, 18, 96, 24, 24, 72, 8, 8, 18, 1, 12, 27, 6, 2, 27, 27, 27, 16, 2, 54, 3, 24, 4, 16, 3, 24, 54, 24, 9, 2, 72, 3, 9, 81, 3, 81, 32, 27, 24, 64, 9, 6, 64, 4, 72, 48, 96, 3, 96, 64, 9, 27, 24, 24, 27, 6, 24, 8, 6, 6, 81, 81, 1, 1, 81, 16, 36, 24, 81, 9, 16, 32, 81, 2, 16, 27, 6, 2, 12, 6, 3, 64, 81, 81, 24, 32, 64, 24, 2, 1, 8, 48, 18, 16, 54}

    Returns: 1

  31. 20

    {72, 81, 54, 54, 1, 27, 8, 72, 2, 72, 2, 8, 36, 16, 54, 12, 72, 32, 12, 72, 12, 6, 81, 96, 8, 54, 48, 72, 81, 81, 6, 8, 9, 8, 2, 24, 96, 32, 1, 27, 96, 6, 27, 3, 8, 64, 64, 12, 64, 9, 48, 24, 48, 54, 6, 81, 3, 64, 18, 2, 9, 36, 8, 16, 96, 3, 27, 24, 8, 6, 54, 12, 8, 9, 16, 8, 64, 4, 18, 72, 1, 18, 81, 48, 2, 81, 18, 27, 9, 72, 36, 8, 24, 9, 8, 72, 1, 8, 3, 18, 4, 8, 27, 36, 36, 2, 81, 1, 24, 4, 4, 1, 9, 12, 3, 48, 32, 9, 64, 8, 54, 48, 24, 32, 16, 1, 12, 8, 24, 8, 9, 32, 81, 64, 4, 27, 48, 16, 96, 64, 2, 9, 12, 6, 27, 96, 12, 27, 36, 64, 16, 36, 16, 18, 96, 9, 8, 18, 96, 16, 4, 32, 36, 36, 9, 18, 81, 2, 81, 18, 24, 2, 81, 64, 12, 72, 9, 32, 36, 4, 3, 4, 8, 36, 4, 4, 6, 8, 81, 3, 32, 36, 1, 18, 12, 54, 24, 96, 81, 3, 2, 48, 96, 72, 64, 72, 6, 9, 2, 9, 8, 36, 27, 8, 9, 2, 27, 72, 18, 16, 36, 72, 12, 3, 36, 32, 24, 64, 54, 4, 81, 16, 6, 32, 64, 96, 1, 18, 32, 16, 36, 6, 12, 54, 4, 6, 9, 54, 16, 2, 32, 18, 36, 32, 16, 6, 1, 32, 48, 3, 72, 64, 16, 48, 48, 16, 24, 2, 4, 81, 27, 54, 54, 36, 36, 64, 2, 1, 2, 54, 18, 4, 36, 48, 36, 32, 16, 27, 8, 36, 1, 2, 96, 1, 27, 48, 81, 3, 27, 16, 32, 9, 16, 64, 36, 81, 81, 16, 81, 9, 81, 1, 48, 1, 4, 16, 48, 64, 24, 32, 6, 12, 4, 81, 6, 4, 8, 32, 54, 4, 4, 36, 24, 81, 27, 16, 81, 1, 6, 27, 6, 27, 3, 18, 4, 2, 96, 9, 4, 81, 3, 2, 12, 16, 8, 64, 18, 96, 27, 8, 12, 81, 81, 4, 6, 1, 6, 48, 96, 72, 72, 48, 32, 18, 9, 32, 72, 96, 27, 72, 27, 1, 9, 27, 64, 32, 2, 27, 24, 1, 1, 9, 16, 4, 1, 24, 64, 18, 3, 81}

    Returns: 1

  32. 24

    {64, 12, 8, 32, 27, 72, 16, 3, 96, 64, 4, 6, 54, 1, 72, 32, 12, 72, 8, 36, 81, 48, 8, 8, 32, 64, 1, 6, 64, 36, 3, 2, 3, 8, 72, 96, 4, 96, 96, 64, 8, 81, 8, 81, 16, 3, 72, 32, 2, 27, 16, 24, 2, 72, 4, 12, 72, 6, 64, 18, 48, 8, 8, 9, 54, 16, 54, 72, 36, 36, 12, 81, 18, 2, 64, 4, 1, 6, 9, 4, 54, 16, 64, 24, 24, 16, 24, 24, 4, 36, 9, 48, 8, 81, 6, 32, 27, 32, 32, 64, 6, 27, 8, 81, 54, 1, 4, 2, 72, 81, 3, 27, 9, 6, 32, 32, 32, 6, 18, 4, 32, 48, 18, 36, 81, 96, 81, 18, 36, 32, 16, 32, 8, 24, 36, 6, 27, 27, 8, 27, 1, 8, 12, 4, 81, 24, 27, 96, 4, 64, 3, 24, 32, 6, 18, 48, 24, 8, 81, 12, 24, 4, 36, 24, 4, 6, 54, 18, 18, 6, 54, 2, 36, 18, 2, 9, 24, 27, 6, 64, 72, 81, 16, 64, 16, 96, 24, 4, 48, 81, 9, 24, 2, 72, 8, 32, 24, 4, 64, 16, 1, 2, 12, 3, 16, 4, 36, 18, 36, 54, 81, 3, 4, 64, 36, 3, 96, 9, 64, 18, 48, 24, 16, 18, 81, 24, 12, 81, 81, 12, 96, 9, 27, 12, 32, 24, 32, 27, 4, 2, 54, 4, 64, 64, 24, 16, 12, 16, 96, 3, 6, 8, 64, 6, 9, 4, 12, 18, 9, 24, 54, 8, 54, 81, 27, 1, 27, 16, 2, 27, 27, 8, 32, 27, 48, 48, 64, 36, 6, 54, 24, 81, 4, 8, 8, 4, 24, 1, 96, 2, 18, 64, 6, 2, 3, 96, 18, 54, 3, 8, 2, 32, 32, 48, 64, 27, 12, 6, 96, 18, 54, 12, 96, 48, 32, 54, 96, 64, 27, 32, 12, 48, 3, 48, 24, 64, 16, 24, 2, 4, 8, 32, 16, 24, 1, 32, 48, 12, 36, 96, 12, 48, 18, 9, 4, 96, 96, 4, 3, 16, 3, 81, 48, 27, 6, 6, 2, 72, 81, 3, 32, 32, 48, 3, 36, 2, 36, 18, 96, 6, 36, 36, 24, 9, 2, 1, 72, 54, 81, 12, 32, 64, 54, 36, 1, 12, 96, 18, 54, 16, 4, 64, 18, 4, 64, 96, 18, 8, 72, 4, 32, 48, 1, 81, 54, 24, 48, 36, 32, 9, 12, 16, 32, 54, 81, 36, 9, 64, 72, 1, 4, 6, 27, 32, 27, 6, 72, 32, 2, 32, 27, 54, 4, 24, 54, 32, 32, 72, 64, 4, 8, 27, 81, 9, 6, 2, 48, 81, 64, 2, 27, 6, 12, 36, 27, 9, 8, 96, 36, 32, 1, 48, 2, 4, 1, 16, 3, 4, 4, 27, 32, 4, 3, 27, 3, 16, 54, 4, 12, 96, 12, 96, 72, 2, 54, 48, 24, 9, 32, 18, 2, 36, 18, 64, 36, 54, 2, 2, 54, 81, 12, 4, 24, 2, 16, 8, 8, 6, 3, 48, 9, 12, 6, 18, 32, 18, 12, 4, 16, 96, 9, 8, 6, 18, 64, 18, 24, 18, 32, 32, 24, 2, 6, 96, 2, 4, 2, 72, 6, 72, 9, 27, 64, 18, 96, 12, 72, 27, 96, 12, 24, 72, 9, 81, 24, 2, 2, 27, 12, 48, 72, 36, 54, 81, 32, 3, 1, 48, 48, 3, 27, 18, 18, 64, 64, 96}

    Returns: 2

  33. 25

    {3, 9, 36, 6, 81, 16, 48, 8, 12, 4, 16, 3, 2, 81, 96, 54, 1, 18, 64, 18, 8, 18, 96, 64, 9, 9, 1, 18, 3, 2, 72, 4, 9, 8, 64, 64, 2, 1, 96, 32, 32, 9, 9, 16, 96, 1, 64, 64, 16, 54, 9, 4, 48, 54, 18, 4, 2, 9, 54, 9, 18, 32, 18, 9, 48, 36, 96, 16, 1, 3, 54, 6, 36, 9, 12, 64, 64, 96, 32, 18, 16, 54, 24, 54, 2, 24, 2, 6, 24, 81, 9, 2, 9, 18, 81, 54, 9, 48, 48, 27, 18, 36, 54, 9, 4, 18, 4, 72, 81, 12, 54, 72, 9, 96, 3, 2, 54, 36, 54, 81, 4, 24, 3, 27, 96, 18, 48, 6, 72, 27, 16, 12, 3, 81, 16, 27, 72, 18, 24, 8, 4, 27, 48, 27, 96, 9, 1, 24, 36, 9, 36, 32, 4, 24, 9, 96, 24, 54, 24, 24, 8, 54, 36, 24, 81, 32, 1, 54, 54, 36, 96, 18, 18, 27, 64, 81, 12, 36, 54, 9, 18, 12, 48, 36, 18, 4, 27, 1, 3, 8, 1, 32, 6, 12, 12, 18, 81, 54, 64, 64, 36, 96, 4, 64, 64, 72, 96, 3, 24, 4, 27, 18, 81, 24, 8, 6, 64, 6, 54, 6, 4, 1, 72, 1, 3, 36, 8, 72, 96, 48, 72, 12, 36, 81, 8, 4, 81, 27, 48, 3, 72, 12, 81, 8, 24, 4, 9, 72, 18, 4, 6, 64, 64, 24, 64, 4, 4, 9, 64, 64, 4, 3, 6, 4, 6, 18, 4, 72, 48, 24, 96, 81, 6, 1, 36, 27, 72, 54, 8, 18, 1, 32, 96, 27, 27, 9, 36, 18, 64, 24, 24, 1, 16, 3, 24, 4, 3, 18, 72, 27, 16, 8, 16, 54, 4, 27, 54, 48, 24, 36, 12, 8, 18, 27, 48, 12, 18, 96, 9, 96, 8, 54, 81, 81, 12, 2, 18, 36, 24, 12, 54, 6, 72, 2, 18, 16, 32, 64, 12, 32, 48, 18, 96, 27, 4, 81, 12, 72, 3, 64, 12, 6, 18, 9, 24, 64, 32, 1, 64, 32, 4, 32, 2, 48, 18, 6, 8, 3, 6, 2, 96, 36, 12, 36, 8, 48, 3, 96, 2, 81, 12, 24, 3, 8, 72, 6, 9, 32, 18, 6, 81, 96, 1, 27, 3, 1, 1, 32, 72, 24, 72, 81, 6, 1, 36, 4, 1, 4, 4, 2, 18, 54, 48, 12, 72, 36, 18, 27, 81, 54, 27, 4, 96, 81, 54, 96, 8, 18, 81, 64, 27, 48, 18, 72, 6, 18, 48, 72, 32, 18, 4, 27, 32, 3, 81, 8, 72, 36, 96, 72, 3, 18, 3, 4, 8, 3, 32, 32, 27, 6, 24, 1, 3, 24, 48, 9, 3, 36, 48, 64, 64, 81, 9, 72, 1, 72, 8, 36, 27, 9, 27, 24, 81, 48, 2, 2, 81, 1, 48, 72, 27, 6, 18, 3, 9, 12, 3, 12, 18, 36, 9, 32, 48, 96, 9, 2, 16, 16, 27, 64, 6, 12, 6, 12, 27, 9, 1, 8, 32, 24, 81, 48, 4, 27, 64, 1, 96, 3, 12, 81, 27, 2, 18, 24, 24, 64, 9, 32, 64, 48, 2, 12, 12, 36, 64, 96, 8, 96, 6, 9, 36, 18, 64, 12, 81, 64, 64, 6, 9, 12, 6, 24, 54, 27, 1, 2, 18, 36, 1, 4, 1, 16, 64, 8, 54, 72, 12, 36, 64, 81, 32, 27, 32, 3, 96, 6, 6, 81, 6, 72, 32, 18, 6, 2, 4, 18, 16, 96, 81, 18, 64, 27, 96, 4, 32, 3, 9, 48, 27, 36, 96, 81, 48, 4, 54, 8, 36, 54, 27, 32, 81, 54, 18, 36, 54}

    Returns: 3

  34. 21

    {60, 10, 12, 6, 2, 2, 3, 3, 20, 6, 30, 20, 3, 3, 20, 2, 15, 1, 4, 60, 1, 5, 6, 60, 30, 3, 10, 4, 10, 5, 12, 6, 5, 6, 60, 4, 2, 5, 1, 3, 30, 3, 20, 1, 6, 2, 1, 20, 60, 20, 12, 2, 5, 6, 1, 30, 20, 4, 3, 4, 3, 6, 60, 20, 1, 3, 12, 30, 6, 4, 2, 10, 60, 6, 60, 15, 30, 15, 10, 12, 1, 12, 60, 60, 10, 12, 5, 1, 12, 5, 10, 4, 3, 30, 20, 20, 1, 12, 2, 2, 2, 4, 10, 6, 30, 4, 5, 60, 4, 15, 30, 4, 4, 6, 20, 1, 6, 6, 10, 6, 3, 4, 2, 12, 3, 2, 5, 2, 6, 60, 30, 15, 1, 12, 60, 60, 6, 20, 5, 60, 4, 4, 60, 2, 12, 3, 15, 12, 12, 10, 20, 3, 6, 15, 12, 30, 3, 5, 2, 60, 4, 6, 4, 1, 60, 15, 6, 3, 6, 12, 15, 60, 2, 30, 3, 5, 30, 60, 30, 12, 6, 30, 3, 15, 15, 12, 4, 10, 1, 15, 4, 60, 60, 2, 5, 10, 2, 3, 2, 3, 3, 12, 5, 30, 5, 20, 6, 30, 3, 12, 1, 5, 2, 10, 3, 5, 1, 60, 5, 15, 60, 2, 5, 60, 10, 1, 12, 1, 1, 12, 1, 4, 3, 6, 15, 4, 20, 12, 5, 20, 1, 30, 60, 10, 3, 60, 15, 15, 60, 15, 1, 15, 3, 10, 4, 15, 20, 20, 5, 4, 12, 5, 15, 60, 10, 2, 6, 4, 60, 60, 6, 60, 12, 5, 10, 60, 1, 10, 4, 10, 15, 5, 60, 4, 1, 2, 10, 5, 1, 10, 30, 1, 30, 5, 4, 5, 30, 12, 6, 3, 3, 10, 20, 20, 10, 5, 15, 20, 60, 10, 2, 15, 6, 5, 6, 3, 5, 4, 20, 5, 4, 5, 15, 12, 2, 12, 4, 1, 12, 5, 60, 1, 15, 20, 2, 4, 3, 6, 20, 5, 1, 1, 20, 30, 1, 30, 20, 30, 5, 20, 10, 15, 6, 10, 2, 6, 30, 10, 20, 3, 2, 20, 5, 20, 30, 15, 12, 10, 4, 3, 20, 5, 30, 1, 12, 12, 3, 30, 30, 12, 20, 30, 1, 6, 12, 12, 12, 2, 20, 20, 1, 4, 2, 60, 60, 5, 1, 30, 15, 5, 10, 15, 2, 12, 2, 5, 1, 5, 12, 60, 60, 6, 2, 10, 15, 30, 2, 3, 3, 10, 10, 1, 60, 2, 60, 1, 10, 5, 3, 2, 2, 5, 6, 1, 4, 12, 20, 3, 1, 2, 60}

    Returns: 1

  35. 23

    {60, 3, 15, 3, 4, 12, 15, 12, 15, 60, 12, 12, 6, 5, 3, 1, 10, 2, 12, 5, 15, 12, 2, 15, 2, 60, 10, 4, 15, 12, 30, 60, 2, 30, 12, 20, 10, 1, 12, 6, 2, 3, 60, 12, 10, 10, 1, 4, 5, 30, 12, 2, 30, 10, 4, 1, 10, 5, 1, 30, 30, 20, 1, 20, 10, 5, 20, 15, 3, 4, 4, 3, 3, 30, 20, 1, 15, 5, 60, 1, 5, 60, 60, 6, 1, 15, 12, 2, 3, 5, 5, 5, 20, 2, 5, 3, 4, 30, 15, 4, 20, 6, 1, 2, 12, 2, 6, 5, 1, 5, 12, 10, 10, 30, 1, 20, 3, 20, 5, 60, 4, 60, 15, 2, 15, 5, 3, 2, 10, 10, 6, 20, 2, 20, 15, 4, 3, 20, 2, 5, 4, 20, 2, 2, 1, 60, 3, 30, 6, 10, 1, 30, 2, 6, 30, 20, 3, 60, 4, 20, 12, 2, 60, 6, 30, 1, 3, 12, 60, 4, 10, 6, 10, 30, 30, 2, 10, 60, 30, 3, 4, 1, 2, 3, 15, 2, 20, 5, 6, 6, 6, 10, 60, 60, 30, 30, 6, 5, 10, 30, 12, 5, 5, 12, 15, 12, 5, 1, 10, 15, 1, 20, 4, 4, 4, 60, 6, 5, 3, 2, 4, 1, 15, 10, 60, 4, 20, 4, 4, 1, 6, 4, 2, 60, 20, 5, 20, 3, 60, 30, 3, 6, 4, 12, 4, 6, 20, 30, 2, 60, 12, 12, 5, 20, 6, 6, 6, 5, 2, 3, 12, 15, 20, 1, 6, 6, 6, 15, 4, 4, 20, 2, 6, 2, 3, 2, 6, 4, 10, 15, 3, 5, 2, 2, 20, 1, 30, 3, 30, 15, 10, 3, 15, 2, 2, 5, 30, 4, 3, 60, 15, 1, 5, 2, 10, 1, 60, 2, 10, 10, 1, 20, 4, 30, 12, 12, 12, 60, 3, 20, 5, 15, 3, 6, 15, 6, 12, 3, 5, 4, 15, 2, 5, 30, 12, 5, 30, 30, 20, 20, 10, 3, 4, 30, 5, 5, 5, 2, 30, 15, 60, 2, 15, 2, 6, 3, 3, 2, 6, 6, 3, 15, 4, 60, 3, 60, 60, 3, 5, 60, 2, 5, 20, 4, 6, 12, 60, 5, 4, 15, 60, 15, 4, 10, 10, 30, 3, 5, 1, 3, 2, 15, 4, 30, 3, 30, 30, 5, 1, 1, 30, 4, 3, 10, 30, 2, 5, 4, 4, 20, 12, 10, 30, 4, 30, 15, 20, 6, 6, 2, 20, 6, 4, 1, 3, 5, 2, 2, 6, 15, 3, 3, 60, 60, 4, 6, 2, 60, 12, 60, 10, 3, 1, 12, 60, 12, 5, 60, 10, 60, 20, 12, 2, 60, 20, 12, 2, 15, 2, 12, 20, 4, 5, 30, 6, 30, 3, 1, 15, 2, 1, 5, 5, 6, 60, 15, 60, 3, 3, 30, 3, 2, 3, 2, 10, 4, 60, 5, 20, 60, 20, 4, 12, 3, 12, 15, 3, 30, 60, 20, 4, 12, 5, 10, 3, 30, 4, 15, 1, 30, 5, 12, 2, 12, 60, 1, 2, 12, 15, 3, 30, 15, 6, 1, 12, 20, 30, 10, 60}

    Returns: 1

  36. 25

    {60, 4, 12, 15, 60, 20, 1, 10, 3, 2, 15, 1, 3, 15, 1, 60, 30, 2, 1, 20, 20, 1, 3, 5, 5, 2, 15, 15, 3, 5, 4, 2, 30, 1, 3, 5, 1, 15, 2, 6, 6, 6, 30, 5, 1, 6, 15, 60, 10, 3, 15, 15, 12, 5, 4, 30, 6, 6, 3, 3, 1, 2, 3, 15, 15, 60, 1, 3, 15, 2, 3, 12, 20, 2, 20, 20, 60, 1, 15, 20, 15, 12, 10, 60, 10, 2, 3, 4, 6, 30, 3, 15, 12, 1, 2, 4, 10, 4, 3, 5, 30, 5, 4, 30, 10, 5, 12, 2, 20, 20, 30, 3, 10, 20, 10, 30, 30, 1, 1, 2, 30, 3, 2, 20, 30, 12, 5, 6, 20, 1, 60, 3, 10, 30, 4, 6, 60, 10, 30, 1, 15, 6, 30, 20, 4, 3, 10, 2, 3, 3, 20, 30, 30, 1, 4, 12, 4, 1, 60, 4, 1, 4, 20, 6, 2, 4, 1, 30, 60, 2, 12, 6, 2, 2, 5, 4, 5, 60, 3, 60, 2, 30, 2, 2, 10, 2, 6, 12, 10, 6, 20, 2, 3, 1, 6, 3, 3, 3, 60, 5, 12, 60, 30, 20, 15, 30, 3, 2, 2, 6, 3, 15, 60, 20, 2, 6, 3, 4, 60, 3, 5, 20, 10, 20, 20, 30, 4, 1, 60, 20, 3, 30, 5, 3, 10, 5, 3, 2, 12, 60, 6, 6, 30, 6, 10, 1, 6, 2, 15, 3, 60, 1, 1, 20, 15, 2, 6, 5, 12, 12, 20, 20, 2, 60, 30, 12, 12, 20, 60, 20, 5, 3, 1, 2, 60, 2, 4, 2, 2, 30, 6, 5, 10, 4, 1, 1, 15, 2, 6, 5, 30, 3, 2, 20, 6, 12, 15, 6, 20, 5, 60, 12, 5, 2, 30, 2, 30, 2, 30, 2, 20, 3, 2, 2, 12, 60, 12, 2, 2, 3, 20, 3, 1, 15, 12, 2, 60, 30, 12, 10, 1, 4, 15, 30, 5, 12, 3, 1, 12, 15, 1, 5, 5, 12, 3, 2, 5, 6, 3, 10, 30, 20, 15, 4, 3, 4, 15, 30, 20, 10, 20, 20, 10, 15, 1, 10, 15, 6, 2, 30, 1, 3, 20, 10, 15, 30, 5, 6, 3, 4, 15, 4, 5, 10, 4, 5, 10, 6, 30, 10, 15, 4, 20, 5, 3, 6, 4, 12, 6, 12, 4, 2, 6, 3, 5, 6, 4, 2, 15, 1, 20, 15, 15, 5, 4, 10, 3, 60, 4, 15, 5, 2, 30, 3, 3, 10, 20, 5, 30, 5, 2, 60, 1, 10, 15, 10, 30, 12, 30, 10, 3, 12, 60, 3, 4, 2, 30, 20, 20, 1, 3, 12, 1, 20, 60, 60, 2, 30, 4, 5, 2, 2, 60, 60, 1, 4, 2, 3, 6, 6, 15, 6, 12, 3, 1, 2, 15, 2, 4, 4, 2, 5, 3, 2, 3, 15, 3, 10, 60, 10, 15, 20, 20, 12, 4, 15, 12, 10, 4, 5, 15, 30, 60, 10, 12, 30, 30, 60, 5, 30, 3, 10, 4, 5, 5, 3, 30, 3, 20, 4, 3, 3, 6, 12, 6, 1, 10, 4, 5, 5, 3, 60, 20, 12, 12, 1, 5, 10, 15, 15, 3, 30, 5, 1, 1, 5, 30, 5, 30, 2, 4, 2, 4, 5, 3, 20, 12, 3, 60, 15, 2, 30, 15, 15, 1, 5, 20, 30, 15, 30, 12, 30, 30, 30, 15, 3, 12, 10, 30, 30, 3, 2, 2, 10, 1, 60, 1, 30, 6, 12, 30, 1, 12, 30, 10, 4, 20, 5, 2, 1, 15, 10, 30, 12, 4, 15, 2, 2, 5, 10, 60, 2, 15, 6, 15, 4, 20, 4, 6, 6, 6, 60, 20, 12, 60}

    Returns: 1

  37. 25

    {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 100, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

    Returns: 1

  38. 3

    {6, 3, 1, 2, 6, 4, 1, 1, 4 }

    Returns: 2

  39. 3

    {10, 5, 3, 2, 10, 6, 3, 6, 2 }

    Returns: 2

  40. 15

    {2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 25, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 89, 9, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }

    Returns: 1

  41. 3

    {6, 9, 4, 4, 6, 6, 4, 6, 2 }

    Returns: 2

  42. 3

    {54, 27, 27, 2, 27, 27, 2, 54, 2 }

    Returns: 2

  43. 3

    {6, 2, 1, 3, 6, 1, 1, 6, 2 }

    Returns: 2

  44. 10

    {2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }

    Returns: 1

  45. 4

    {18, 70, 35, 78, 36, 77, 34, 59, 90, 15, 27, 17, 82, 26, 84, 44 }

    Returns: 2

  46. 3

    {10, 5, 5, 2, 10, 2, 2, 1, 2 }

    Returns: 2

  47. 3

    {6, 2, 2, 3, 6, 6, 3, 3, 2 }

    Returns: 2

  48. 24

    {30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5, 30, 30, 2, 2, 3, 3, 5, 5 }

    Returns: 1

  49. 5

    {10, 10, 10, 10, 10, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10 }

    Returns: 10

  50. 3

    {6, 3, 1, 2, 6, 2, 1, 2, 2 }

    Returns: 2

  51. 3

    {2, 10, 2, 11, 5, 2, 11, 5, 10 }

    Returns: 2

  52. 3

    {15, 9, 1, 5, 15, 3, 1, 3, 3 }

    Returns: 3

  53. 3

    {15, 15, 3, 15, 5, 15, 3, 15, 3 }

    Returns: 3

  54. 3

    {2, 6, 3, 6, 10, 2, 3, 5, 10 }

    Returns: 2

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